In the equation 1/j + 1/k = 1/3 + 1/5, both j and k are positive integers. What is the sum of all possible values for k?
+605 The other answer isn't insightful whatsoever.
Note RHS = $\frac{8}{15}$ and LHS = $\frac{j+k}{jk}$. So $15j+15k=8jk$. Now use simons favorite factoring trick.
